Halving in some genus 2 curves over binary fields

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Issue date
2016-06
Author
Garra Oronich, Ricard
Miret, Josep M. (Josep Maria)
Pujolàs Boix, Jordi
Suggested citation
Garra Oronich, Ricard; Miret, Josep M. (Josep Maria); Pujolàs Boix, Jordi; . (2016) . Halving in some genus 2 curves over binary fields. IEEE Latin America Transactions, 2016, vol. 14, núm. 6, p. 2885-2889. http://hdl.handle.net/10459.1/59440.
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Abstract
We give a method to compute the halving of a divisor in the Jacobian variety of a genus 2 curve in characteristic 2. We present explicit halving formulae for each possible divisor class for some curves (those with h (x)= x), detailing all the process to obtain them. We improve the fastest known formulae for some divisor classes in the studied type of curves.
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http://hdl.handle.net/10459.1/59440
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IEEE Latin America Transactions, 2016, vol. 14, núm. 6, p. 2885-2889
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